Comparative Study of Time Delay Estimation Based Optimal 1st and 2nd Order Sliding Mode for Current Regulation of Six-Phase Induction Machines

In this work, a time delay estimation based optimal conventional and second order sliding mode stator currents controller are proposed and compared for a six-phase induction machine fed by voltage source power converters. In a first step, the speed is regulated in an outer loop using a proportional-integral controller. Then, in a second step, the stator currents are controlled in an inner loop using the proposed methods. On one hand, the first method is a combination of time delay estimation with optimal first order sliding mode with exponential reaching law. On the other hand, the second method is a combination of time delay estimation with optimal super-twisting control. Based on Lyapunov theory, the stability of the stator currents closed-loop error dynamics is demonstrated and sufficient conditions of stability are determinate. As a case example, numerical simulations have been conducted on an asymmetrical six-phase induction machine to demonstrate the good features of the developed nonlinear controllers.

[1]  J. Rodas,et al.  Speed Control of a Five-Phase Induction Motor Drive using Modified Super-Twisting Algorithm , 2018, 2018 International Symposium on Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM).

[2]  Alexander S. Poznyak,et al.  Integral Sliding Mode Control , 2014 .

[3]  R. Stephenson.  A and V , 1962, The British journal of ophthalmology.

[4]  Maarouf Saad,et al.  Control of Robot Manipulators Using Modified Backstepping Sliding Mode , 2019, New Developments and Advances in Robot Control.

[5]  Vadim I. Utkin,et al.  Sliding mode control in electromechanical systems , 1999 .

[6]  Marco Villani,et al.  High Reliability Permanent Magnet Brushless Motor Drive for Aircraft Application , 2012, IEEE Transactions on Industrial Electronics.

[7]  Manuel R. Arahal,et al.  Influence of Covariance-Based ALS Methods in the Performance of Predictive Controllers With Rotor Current Estimation , 2017, IEEE Transactions on Industrial Electronics.

[8]  Gérard-André Capolino,et al.  Fuzzy Logic and Sliding-Mode Controls Applied to Six-Phase Induction Machine With Open Phases , 2010, IEEE Transactions on Industrial Electronics.

[9]  Yang Xu,et al.  Modelling and control of a multi-phase permanent magnet synchronous generator and efficient hybrid 3L-converters for large direct-drive wind turbines , 2012 .

[10]  Rui Xu,et al.  Sliding mode control with sigmoid function for the motion tracking control of the piezo-actuated stages , 2017 .

[11]  Emil Levi,et al.  Advances in Converter Control and Innovative Exploitation of Additional Degrees of Freedom for Multiphase Machines , 2016, IEEE Transactions on Industrial Electronics.

[12]  Zicheng Liu,et al.  Coordinated and fault-tolerant control of tandem 15-phase induction motors in ship propulsion system , 2018 .

[13]  Ramzi Trabelsi,et al.  High performance backstepping control of a fivephase induction motor drive , 2014, 2014 IEEE 23rd International Symposium on Industrial Electronics (ISIE).

[14]  Maarouf Saad,et al.  Nonlinear Backstepping with Time Delay Estimation for Six-Phase Induction Machine , 2019, 2019 IEEE International Electric Machines & Drives Conference (IEMDC).

[15]  Manuel R. Arahal,et al.  Online Estimation of Rotor Variables in Predictive Current Controllers: A Case Study Using Five-Phase Induction Machines , 2016, IEEE Transactions on Industrial Electronics.

[16]  R. Gregor,et al.  Speed sensorless control of dual three-phase induction machine based on a luenberger observer for rotor current estimation , 2012, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society.

[17]  Maarouf Saad,et al.  Current control based on super-twisting algorithm with time delay estimation for a five-phase induction motor drive , 2017, 2017 IEEE International Electric Machines and Drives Conference (IEMDC).

[18]  Dragan Milicevic,et al.  Overview of fast on-board integrated battery chargers for electric vehicles based on multiphase machines and power electronics , 2016 .

[19]  Raul Gregor,et al.  A speed-sensorless predictive current control of multiphase induction machines using a Kalman filter for rotor current estimator , 2016, 2016 International Conference on Electrical Systems for Aircraft, Railway, Ship Propulsion and Road Vehicles & International Transportation Electrification Conference (ESARS-ITEC).

[20]  Maarouf Saad,et al.  Current Control of a Six-Phase Induction Machine Drive Based on Discrete-Time Sliding Mode with Time Delay Estimation , 2019 .

[21]  Maarouf Saad,et al.  Super-twisting algorithm with time delay estimation for uncertain robot manipulators , 2018 .

[22]  Leonid M. Fridman,et al.  An averaging approach to chattering , 2001, IEEE Trans. Autom. Control..

[23]  W. Marsden.  I and J , 2012 .

[24]  Alejandro G. Yepes,et al.  Current Harmonics Compensation Based on Multiresonant Control in Synchronous Frames for Symmetrical $n$-Phase Machines , 2015, IEEE Transactions on Industrial Electronics.

[25]  Marco Rivera,et al.  Predictive-Fixed Switching Current Control Strategy Applied to Six-Phase Induction Machine , 2019, Energies.

[26]  Maarouf Saad,et al.  Optimal super-twisting algorithm with time delay estimation for robot manipulators based on feedback linearization , 2018, Robotics Auton. Syst..